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Finding the Fourth Proportional to 14,244.22, 19,657.05 and 7,870.99

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Solution

The fourth proportional to 14,244.22, 19,657.05 and 7,870.99 is: 10,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.22 : 19,657.05 = 7,870.99 : x
  2. Step 2: Convert to fraction form
    14,244.22/19,657.05 = 7,870.99/x
  3. Step 3: Cross multiply
    14,244.22x = 19,657.05 × 7,870.99
  4. Step 4: Simplify right side
    14,244.22x = 154,720,385.66
  5. Step 5: Solve for x
    x = 154,720,385.66/14,244.22
  6. Step 6: Final answer
    x = 10,861.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.